The Bundesliga side is ready to extend his current four-year contract with at least another 18 months.
“Hoffenheim are keen to extend Ogbuke’s deal by another year and a half,” said the player’s agent, John Shittu.
“The club have made it very clear that he or any of their top players are not for sale. They understand how important he is to them and so they want to do everything to keep him.”
The 22-year-old joined Hoffenheim from Norwegian side Lyn Oslo in 2007.